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Finding the Third Proportional to 347,225.25 and 760,924.50

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Solution

The third proportional to 347,225.25 and 760,924.50 is: 1,667,523.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,225.25 : 760,924.50 = 760,924.50 : x
  2. Step 2: Convert to fraction form
    347,225.25/760,924.50 = 760,924.50/x
  3. Step 3: Cross multiply
    347,225.25x = 760,924.50 × 760,924.50
  4. Step 4: Simplify right side
    347,225.25x = 579,006,094,700.25
  5. Step 5: Solve for x
    x = 579,006,094,700.25/347,225.25
  6. Step 6: Final answer
    x = 1,667,523.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.